Simplify the expression 20,000x0.024 using scientific expression.
20,000 = 2 * 10 ^ 4
0.24 = 2.4 * 10 ^ - 2
20,000 * 0.024 =
2 * 10 ^ 4 * 2.4 * 10 ^ - 2 =
2 * 2.4 * 10 ^ 4 * 10 ^ - 2 =
4.8 * 10 ^ 4 * 10 ^ - 2 =
4.8 * 10 ^ [ 4 + ( - 2 ) ] =
4.8 * 10 ^ ( 4 - 2 ) =
4.8 * 10 ^ 2
Well, 20,000 x 0.024 can be simplified using scientific notation. Let's break it down:
20,000 is the same as 2 x 10^4 (because you move the decimal point four places to the right)
0.024 is the same as 2.4 x 10^-2 (because you move the decimal point two places to the left)
Now, let's multiply them:
2 x 10^4 multiplied by 2.4 x 10^-2.
When you multiply them, you add the exponents:
2 x 10^4 x 2.4 x 10^-2 = 4.8 x 10^2
So, simplifying the expression 20,000 x 0.024 using scientific notation gives us 4.8 x 10^2.
To simplify the expression 20,000x0.024 using scientific notation, we need to express 20,000 as a number between 1 and 10 multiplied by a power of 10.
20,000 can be written as 2.0 x 10^4.
Now we can simplify the expression:
2.0 x 10^4 x 0.024
To multiply numbers in scientific notation, we multiply the coefficients and add the exponents:
(2.0 x 0.024) x 10^(4+0)
The simplified expression is:
0.048 x 10^4
Therefore, the expression 20,000x0.024, when simplified using scientific notation, is equal to 0.048 x 10^4.
To simplify the expression 20,000 x 0.024 using scientific notation, we'll start by expressing the numbers in scientific notation.
First, let's express 20,000 in scientific notation:
20,000 = 2 x 10^4
Next, let's express 0.024 in scientific notation:
0.024 = 2.4 x 10^-2
Now, we can substitute these values back into the expression and perform the multiplication:
(2 x 10^4) x (2.4 x 10^-2)
To multiply two numbers in scientific notation, you can multiply the coefficients and add the exponents:
(2 x 2.4) x (10^4 x 10^-2)
Multiplying the coefficients 2 x 2.4 gives us 4.8, and multiplying the powers of 10 10^4 x 10^-2 gives us 10^2 (since 4 - 2 = 2).
Therefore, the simplified expression in scientific notation is:
4.8 x 10^2